Corrigendum to ‘Degenerations of Zinbiel and nilpotent Leibniz algebras’, (2018), 66, 4, (704-716), 10.1080/03081087.2017.1319457)

Ivan Kaygorodov, Yury Popov, Pozhidaev, Yury Volkov

Research output: Contribution to journalComment/debatepeer-review

Abstract

It was noted in Demir et al. [On classification of four-dimensional nilpotent Leibniz algebras. Comm Algebra. 2017;45(3):1012–1018]; Ismailov et al. [Degenerations of Leibniz and anticommutative algebras. Canad Math Bull. 2019;62(3):539–549] that there is a 4-dimensional nilpotent Leibniz algebra that is not included in the classification obtained in Albeverio et al. [Classification of 4-dimensional nilpotent complex Leibniz algebras. Extracta Math. 2006;21(3):197–210]. The construction of the graph of degenerations (see Kaygorodov et al. Degenerations of Zinbiel and nilpotent Leibniz algebras. Linear Multilinear Algebra. 2018;66(4):704–716) is based on the classification of Albeverio et al. [Classification of 4-dimensional nilpotent complex Leibniz algebras. Extracta Math. 2006;21(3):197–210] and for this reason, this graph does not contain the mentioned algebra. This omission and some other small inaccuracies are corrected in the present corrigendum.

Original languageEnglish
Number of pages3
JournalLinear and Multilinear Algebra
DOIs
Publication statusPublished - 4 Apr 2020

Keywords

  • degeneration
  • Leibniz algebra
  • nilpotent algebra
  • Zinbiel algebra

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